Atkin-Lehner |
2- 3- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
47268d |
Isogeny class |
Conductor |
47268 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6225408 |
Modular degree for the optimal curve |
Δ |
5.9801964055792E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52885884,89836761193] |
[a1,a2,a3,a4,a6] |
Generators |
[24954942254:8256627290151:226981] |
Generators of the group modulo torsion |
j |
1402476217394254625062912/512705453153226582717 |
j-invariant |
L |
6.6390327898142 |
L(r)(E,1)/r! |
Ω |
0.069233516430366 |
Real period |
R |
15.982222513285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15756d1 |
Quadratic twists by: -3 |